Step |
Hyp |
Ref |
Expression |
1 |
|
upgrres1.v |
|
2 |
|
upgrres1.e |
|
3 |
|
upgrres1.f |
|
4 |
|
upgrres1.s |
|
5 |
|
f1oi |
|
6 |
|
f1of |
|
7 |
5 6
|
mp1i |
|
8 |
7
|
ffdmd |
|
9 |
|
simpr |
|
10 |
9
|
adantr |
|
11 |
2
|
eleq2i |
|
12 |
|
edgupgr |
|
13 |
|
elpwi |
|
14 |
13 1
|
sseqtrrdi |
|
15 |
14
|
3ad2ant1 |
|
16 |
12 15
|
syl |
|
17 |
11 16
|
sylan2b |
|
18 |
17
|
ad4ant13 |
|
19 |
|
simpr |
|
20 |
|
elpwdifsn |
|
21 |
10 18 19 20
|
syl3anc |
|
22 |
|
simpl |
|
23 |
11
|
biimpi |
|
24 |
12
|
simp2d |
|
25 |
22 23 24
|
syl2an |
|
26 |
25
|
adantr |
|
27 |
|
nelsn |
|
28 |
26 27
|
syl |
|
29 |
21 28
|
eldifd |
|
30 |
29
|
ex |
|
31 |
30
|
ralrimiva |
|
32 |
|
rabss |
|
33 |
31 32
|
sylibr |
|
34 |
3 33
|
eqsstrid |
|
35 |
|
elrabi |
|
36 |
|
edgval |
|
37 |
2 36
|
eqtri |
|
38 |
37
|
eleq2i |
|
39 |
|
eqid |
|
40 |
1 39
|
upgrf |
|
41 |
40
|
frnd |
|
42 |
41
|
sseld |
|
43 |
38 42
|
syl5bi |
|
44 |
|
fveq2 |
|
45 |
44
|
breq1d |
|
46 |
45
|
elrab |
|
47 |
46
|
simprbi |
|
48 |
43 47
|
syl6 |
|
49 |
48
|
adantr |
|
50 |
35 49
|
syl5com |
|
51 |
50 3
|
eleq2s |
|
52 |
51
|
impcom |
|
53 |
34 52
|
ssrabdv |
|
54 |
8 53
|
fssd |
|
55 |
|
opex |
|
56 |
4 55
|
eqeltri |
|
57 |
1 2 3 4
|
upgrres1lem2 |
|
58 |
57
|
eqcomi |
|
59 |
1 2 3 4
|
upgrres1lem3 |
|
60 |
59
|
eqcomi |
|
61 |
58 60
|
isupgr |
|
62 |
56 61
|
mp1i |
|
63 |
54 62
|
mpbird |
|